elaina77
elaina77 elaina77
  • 12-06-2021
  • Mathematics
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what is the length is centimeters of line segment AD?

what is the length is centimeters of line segment AD class=

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jimthompson5910 jimthompson5910
  • 12-06-2021

Answer:  12

=========================================================

Explanation:

Focus solely on triangle ABD.

Let x be the length of AD. This is the unknown horizontal leg of the triangle. The vertical leg is known, so we'll say b = 16.

The hypotenuse is 20, so c = 20.

Use the pythagorean theorem to find x

a^2 + b^2 = c^2

x^2 + 16^2 = 20^2

x^2 + 256 = 400

x^2 = 400 - 256

x^2 = 144

x = sqrt(144)

x = 12

Segment AD is 12 cm long.

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